Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method. Hard Drive Cloud Disks 8.8 7.5 7.1 8.8 9.2 6.6 8.0 7.2 10.2 7.6 7.9 8.0 (i) Give the value of the level of significance. (ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.) (vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom MS F Ratio Between groups Within groups Total
Anela is a computer scientist who is formulating a large and complicated program for a type of data processing. She has three ways of storing and retrieving data: cloud storage, disk, or hard drive. As an experiment, she sets up her program in three different ways: one using cloud storage, one using disks, and the other using a hard drive. Then she makes four test runs of this type of data processing on each program. The time required to execute each program is shown in the following table (in minutes). Use a 0.01 level of significance to test the hypothesis that the mean processing time is the same for each method.
| Hard Drive | Cloud | Disks |
| 8.8 | 7.5 | 7.1 |
| 8.8 | 9.2 | 6.6 |
| 8.0 | 7.2 | 10.2 |
| 7.6 | 7.9 | 8.0 |
(i) Give the value of the level of significance.
(ii) Find the sample test statistic. (Round your F Ratio to two decimal places. Round all other answers to four decimal places.)
(vi) In the case of one-way ANOVA, make a summary table. (Round your answers to three decimal places.)
| Source of Variation |
Sum of Squares |
Degrees of Freedom |
MS | F Ratio |
||
| Between groups |
||||||
| Within groups |
||||||
| Total |
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